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Finding the Third Proportional to 628,160 and 1,375,943

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Solution

The third proportional to 628,160 and 1,375,943 is: 3,013,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,160 : 1,375,943 = 1,375,943 : x
  2. Step 2: Convert to fraction form
    628,160/1,375,943 = 1,375,943/x
  3. Step 3: Cross multiply
    628,160x = 1,375,943 × 1,375,943
  4. Step 4: Simplify right side
    628,160x = 1,893,219,139,249
  5. Step 5: Solve for x
    x = 1,893,219,139,249/628,160
  6. Step 6: Final answer
    x = 3,013,912.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.